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Finding the Fourth Proportional to 557.99, 770.03 and 309.31

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Solution

The fourth proportional to 557.99, 770.03 and 309.31 is: 426.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.99 : 770.03 = 309.31 : x
  2. Step 2: Convert to fraction form
    557.99/770.03 = 309.31/x
  3. Step 3: Cross multiply
    557.99x = 770.03 × 309.31
  4. Step 4: Simplify right side
    557.99x = 238,174.51
  5. Step 5: Solve for x
    x = 238,174.51/557.99
  6. Step 6: Final answer
    x = 426.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.